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A.
\(\sqrt{2}\) - 1
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B.
1 - \(\sqrt{2}\)
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C.
\(\frac{\sqrt{2} - 1}{2}\)
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D.
\(\frac{1 - \sqrt{2}}{2}\)
Correct Answer: Option A
Explanation
\(\frac{1}{\sqrt{2} + 1}\) x \(\frac{\sqrt{2} - 1}{\sqrt{2} - 1}\)
= \(\frac{\sqrt{2} - 1}{2 - 1}\)
= \(\frac{\sqrt{2} - 1}{1} = \sqrt{2} - 1\)
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